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Effect of ion and negative ion temperatures on KdV and mKdV solitons in a multicomponent plasma

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Abstract

The formation of ion-acoustic solitons (IASs) in an unmagnetized plasma with negative ions has been investigated through the KdV equation in both the situations \(Q^{\prime}\left( { = m_{j} /m_{i} = {\text{negative}}\;{\text{to}}\;{\text{positive}}\;{\text{ion}}\;{\text{mass}}\;{\text{ratio}}} \right)\) less and greater than one and the mKdV equation only for \(Q^{\prime} > 1\). The existence of both KdV and mKdV solitons has been established for \(\alpha \left( { = {\text{ion}}\;{\text{to}}\;{\text{electron}}\;{\text{temperature}}\;{\text{ratio}}} \right)\; > \;\beta \left( { = {\text{negative}}\;{\text{ion}}\;{\text{to}}\;{\text{electron}}\;{\text{temperature}}\;{\text{ratio}}} \right)\) and \(\alpha < \beta\), which is the new outcome of the current investigation. Furthermore, the existence of both compressive and rarefactive solitons for \(Q^{\prime} > 1\) and \(Q^{\prime} < 1\) has been demonstrated.

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Authors and Affiliations

  1. Department of Mathematics, Gauhati University, Guwahati, Assam, 781014, India

    B. Madhukalya

  2. Department of Mathematics, Arya Vidyapeeth College, Guwahati, Assam, 781016, India

    R. Das

  3. Department of Mathematics, Near East University TRNC, Mersin 10, Turkey

    K. Hosseini & E. Hincal

  4. Department of Mathematics, Faculty of Arts and Sciences, Cankaya University, 06530, Ankara, Turkey

    D. Baleanu

  5. Institute of Space Sciences, Magurele-Bucharest, Romania

    D. Baleanu

  6. Department of Medical Research, China Medical University, Taichung, 40447, Taiwan

    D. Baleanu

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  1. B. Madhukalya
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  4. D. Baleanu
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Madhukalya, B., Das, R., Hosseini, K. et al. Effect of ion and negative ion temperatures on KdV and mKdV solitons in a multicomponent plasma. Nonlinear Dyn 111, 8659–8671 (2023). https://doi.org/10.1007/s11071-023-08262-8

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